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131102120000 = 265414921997
BaseRepresentation
bin111101000011001001…
…0111001100001000000
3110112101201202202001002
41322012102321201000
54121444120320000
6140121045231132
712320555430125
oct1720622714100
9415351682032
10131102120000
1150666802205
12214a9a024a8
13c494318447
1464b99da74c
1536249b78d5
hex1e864b9840

131102120000 has 140 divisors (see below), whose sum is σ = 327287343900. Its totient is φ = 52086528000.

The previous prime is 131102119957. The next prime is 131102120041. The reversal of 131102120000 is 21201131.

It can be written as a sum of positive squares in 10 ways, for example, as 114752917504 + 16349202496 = 338752^2 + 127864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5949002 + ... + 5970998.

Almost surely, 2131102120000 is an apocalyptic number.

131102120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163643671950).

131102120000 is an abundant number, since it is smaller than the sum of its proper divisors (196185223900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131102120000 is an equidigital number, since it uses as much as digits as its factorization.

131102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22178 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 131102120000 its reverse (21201131), we get a palindrome (131123321131).

The spelling of 131102120000 in words is "one hundred thirty-one billion, one hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 149 160 200 250 298 320 400 500 596 625 745 800 1000 1192 1250 1490 1600 2000 2384 2500 2980 3725 4000 4768 5000 5960 7450 8000 9536 10000 11920 14900 18625 20000 21997 23840 29800 37250 40000 43994 47680 59600 74500 87988 93125 109985 119200 149000 175976 186250 219970 238400 298000 351952 372500 439940 549925 596000 703904 745000 879880 1099850 1192000 1407808 1490000 1759760 2199700 2749625 2980000 3277553 3519520 4399400 5499250 5960000 6555106 7039040 8798800 10998500 13110212 13748125 16387765 17597600 21997000 26220424 27496250 32775530 35195200 43994000 52440848 54992500 65551060 81938825 87988000 104881696 109985000 131102120 163877650 175976000 209763392 219970000 262204240 327755300 409694125 439940000 524408480 655510600 819388250 879880000 1048816960 1311021200 1638776500 2048470625 2622042400 3277553000 4096941250 5244084800 6555106000 8193882500 13110212000 16387765000 26220424000 32775530000 65551060000 131102120000